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Cell size distribution in a random tessellation of space governed by the Kolmogorov-Johnson-Mehl-Avrami model: Grain size distribution in crystallization

The space subdivision in cells resulting from a process of random nucleation and growth is a subject of interest in many scientific fields. In this paper, we deduce the expected value and variance of these distributions while assuming that the space subdivision process is in accordance with the premises of the Kolmogorov-Johnson-Mehl-Avrami model. We have not imposed restrictions on the time dependency of nucleation and growth rates. We have also developed an approximate analytical cell size probability density function. Finally, we have applied our approach to the distributions resulting from solid phase crystallization under isochronal heating conditions

© Physical Review B, 2008, núm. 78, p.144101

American Physical Society

Autor: Farjas Silva, Jordi
Roura Grabulosa, Pere
Data: 2008
Resum: The space subdivision in cells resulting from a process of random nucleation and growth is a subject of interest in many scientific fields. In this paper, we deduce the expected value and variance of these distributions while assuming that the space subdivision process is in accordance with the premises of the Kolmogorov-Johnson-Mehl-Avrami model. We have not imposed restrictions on the time dependency of nucleation and growth rates. We have also developed an approximate analytical cell size probability density function. Finally, we have applied our approach to the distributions resulting from solid phase crystallization under isochronal heating conditions
Format: application/pdf
ISSN: 1098-0121 (versió paper)
1550-235X (versió electrònica)
Accés al document: http://hdl.handle.net/10256/7508
Llenguatge: eng
Editor: American Physical Society
Col·lecció: Reproducció digital del document publicat a: http://dx.doi.org/10.1103/PhysRevB.78.144101
Articles publicats (D-F)
És part de: © Physical Review B, 2008, núm. 78, p.144101
Drets: Tots els drets reservats
Matèria: Cristal·lització
Crystallization
Kolmogorov-Johnson-Mehl-Avrami, Teoria de
Kolmogorov-Johnson-Mehl-Avrami theory
Títol: Cell size distribution in a random tessellation of space governed by the Kolmogorov-Johnson-Mehl-Avrami model: Grain size distribution in crystallization
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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